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Finding the Fourth Proportional to 257, 385.42 and 74.36

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Solution

The fourth proportional to 257, 385.42 and 74.36 is: 111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257 : 385.42 = 74.36 : x
  2. Step 2: Convert to fraction form
    257/385.42 = 74.36/x
  3. Step 3: Cross multiply
    257x = 385.42 × 74.36
  4. Step 4: Simplify right side
    257x = 28,659.83
  5. Step 5: Solve for x
    x = 28,659.83/257
  6. Step 6: Final answer
    x = 111.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.